20.500.12556/RUL-114876 Hybrid-mixed shell quadrilateral that allows for large solution steps and is low-sensitive to mesh distortion We compare three nearly optimal quadrilateral finite elements for geometrically exact inextensible-director shell model. Two of them are revisited and one is novel. The assumed natural strain (ANS) element of Ko et al. (Comput Struct 185:1-14, 2017) shows low sensitivity to mesh distortion and excellent convergence behavior for most types of shell problems. The Hu Washizu element with ANS shear strains of Wagner and Gruttmann (Int J Numer Methods Eng, 64:635-666, 2005) allows for large solution steps and is computationally fast. However, both formulations have undesirable weak spots, which we clearly identify by a comprehensive set of numerical examples. We show that a straightforward combination of both formulations results in a novel element that synergizes the positive features and eliminates the weak spots of its predecessors. nonlinear shells quadrilateral element assumed natural strain hybrid-mixed formulation mesh distortion large solution steps mesh-distortion sensitivity true true true Angleški jezik Angleški jezik Članek v reviji 2020-03-23 09:21:54 2020-03-23 09:25:48 2023-04-19 15:56:05 0000-00-00 00:00:00 2020 0 0 Str. 177-192 št. 1 Letn. 65 2020 0000-00-00 PostprintKoncna Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 624.07 0178-7675 10.1007/s00466-019-01759-3 8875617 6668037 RAZ_Lavrencic_Marko_2020.pdf RAZ_Lavrencic_Marko_2020.pdf 1 4B335B2CCEF95BABAC0E3B6B5AFF23FA a64394340de150450c50cc85254b9335a3fe76d9de6ff3d379e968a2b4c5548b 48646108-a1b8-11eb-a523-00155dcfd717 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=127213 https://doi.org/10.1016/j.cnsns.2019.104863 1 https://repozitorij.uni-lj.si/Dokument.php?lang=slv&id=127210 Fakulteta za gradbeništvo in geodezijo 0 0 0